Linear programming : graphical methods for two dimensional problems – central problem of linear programming – various definitions – statements of basic theorems and properties – phase i and phase ii of the simplex method – revised simplex method –primal and dual – dual simplex method – sensitivity analysis – transportation problem and its solution – assignment problem and its solution by Hungarian method. Integer programming: Gomory cutting plane methods – branch and bound method. Queuing theory: characteristics of queuing systems – steady state m/m/1,m/m/1/k and m/m/c queuing models. Replacement theory : replacement of items that deteriorate – replacement of items that fail group replacement and individual replacement. Inventory theory : costs involved in inventory problems – single item deterministic models – economic lot size models without shortages and with shortages having partition rate infinite and finite. Pert and CP/M : arrow network- time estimates – earliest expected time, latest allowable occurrence time, latest allowable occurrence time and slack – critical path – probability of meeting scheduled date of completion of project – calculation of CP/M network – various floats for activities – critical path – updating project – operation time cost trade off curve – selection of schedule based on cost analysis
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